Information on Result #1321654
Linear OA(755, 82, F7, 32) (dual of [82, 27, 33]-code), using construction X with Varšamov bound based on
- linear OA(752, 77, F7, 32) (dual of [77, 25, 33]-code), using
- a “GraX†code from Grassl’s database [i]
- linear OA(752, 79, F7, 30) (dual of [79, 27, 31]-code), using Gilbert–Varšamov bound and bm = 752 > Vbs−1(k−1) = 85 830943 401341 921660 476378 487771 366542 222417 [i]
- linear OA(71, 3, F7, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(71, s, F7, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(755, 41, F7, 2, 32) (dual of [(41, 2), 27, 33]-NRT-code) | [i] | OOA Folding | |